Inverse Operations: An Essential Tool In Solving Math Equations

inverse operation

operations that undo each other

Inverse operation is the mathematical process that reverses the effect of another operation. For example, addition and subtraction are inverse operations, meaning that they undo each other. Similarly, multiplication and division are inverse operations because they can be used to reverse each other’s effects.

Consider the following examples:

– If you add 5 to a number and then subtract 5 from the result, you end up with the original number. Subtraction is the inverse operation of addition in this case.

– If you multiply a number by 4 and then divide the result by 4, the answer is the original number. Division is the inverse operation of multiplication in this case.

Inverse operations are commonly used in algebra to solve equations. For example, to solve the equation x + 7 = 15, you can use the inverse operation of addition and subtract 7 from both sides of the equation:

x + 7 – 7 = 15 – 7
x = 8

In summary, inverse operation is a mathematical term that refers to the process of reversing the effect of another operation, and inverse operations are commonly used to solve equations in algebra.

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